Optimal rotations of deformable bodies and orbits in magnetic fields
Avron, J. E. ; Gat, O. ; Kenneth, O. ; Sivan, U.
arXiv, 0308050 / Harvested from arXiv
Text on arXiv
Deformations can induce rotation with zero angular momentum where dissipation is a natural ``cost function''. This gives rise to an optimization problem of finding the most effective rotation with zero angular momentum. For certain plastic and viscous media in two dimensions the optimal path is the orbit of a charged particle on a surface of constant negative curvature with magnetic field whose total flux is half a quantum unit.
Publié le : 2003-08-13
Classification:  Physics - Classical Physics,  Mathematical Physics,  Physics - General Physics 
@article{0308050,
     author = {Avron, J. E. and Gat, O. and Kenneth, O. and Sivan, U.},
     title = {Optimal rotations of deformable bodies and orbits in magnetic fields},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0308050}
}

Avron, J. E.; Gat, O.; Kenneth, O.; Sivan, U. Optimal rotations of deformable bodies and orbits in magnetic fields. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0308050/